hannahrios1 hannahrios1
  • 25-11-2018
  • Mathematics
contestada

Show these are or are not inverses.
f(x)=2x+6 and g(x)=1/2x-3

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potatonite
potatonite potatonite
  • 25-11-2018
First, change the values of x for y, and y for x in the first function:

[tex]x = 2y + 6[/tex]
Organize the equation in terms of y.

[tex]x = 2y + 6 \\ 2y = 6 - x \\y = \frac{6 - x}{2} \\ y = 3 - \frac{1}{2} x[/tex]
Given that f^-1(x) is 3-1/2x, each of the given functions are not inverses of each other.


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